Mihawk still negs both, df jobber or not.
Or why did they not send an admiral to mihawk? Seraphim would have dealt with the other shichibukai but they should know better than what they did for mihawk. I'll tell you why - they're too precious to lose. Akainu knew very well not to send admirals for mihawk.
"Weevil? Go for it, green bitch. Mihawk? Oh yeah, well. We're quite busy rn, so just send some dozen battle ships so it looks like we try"